Whether there is or is not any debt is the matter of the dispute! That's what a lot of cases are.
What about a mortgage that states that they take the house back if you can't pay. In that case is there still a debt once you stop paying and give the bank back the keys?
The problem here is that the language gets really slippery really fast. How many "debts" are truly legitimate? How is one even able to tell the legitimacy of a debt? We don't have a perfect oracle to tell us, only an imperfect court system. Even that doesn't necessarily get the RIGHT judgement, just A judgement.
If I sign up for a gym membership and that gym makes it impossible to cancel technically I agreed to it so I owe them, according to your logic. But we as human being also have notions of "reasonableness" which people must adhere to in order to not get sued out of existence.
For example, let's suppose that a large nationwide chain of gyms will sign you up for a membership at any local branch. And let's suppose that their corporate policy is that you can only cancel by going to the corporate headquarters in person between the hours of 10am and 2pm and to take a number and stand in line until your number is called. Is that reasonable? What if the only way to cancel is to mail a notarized cancellation form to corporate? Why won't they just let you cancel in person, with your membership card as proof of you being the account holder?
It's not as though the idea of bankruptcy just got invented and everyone is struggling to wrap their brains around it. It's been around for thousands of years. What's the difference between a general default and a specific default? What makes it OK to tell all your creditors "I can't pay, tough noogies!" but not OK to tell one particular creditor?
When I say it's OK to do that in general what I mean is that there are laws which say that it's OK and nobody is pushing to have them repealed. Further there are laws which limit the statute of limitations for individual debts, which also aren't seeing a huge movement to reform or repeal.
Would you argue that the two are different? Or maybe that they're the same and both are morally reprehensible? Or maybe something else entirely?